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Critical number of fermions in three-dimensional QED
V. P. Gusynin, P. K. Pyatkovskiy
Previous analytical studies of quantum electrodynamics in dimensions (QED3) have shown the existence of a critical number of fermions for onset of chiral symmetry breaking, t…
Magnetic field driven instability in planar NJL model in real-time formalism
O. V. Gamayun, E. V. Gorbar, V. P. Gusynin
It is known that the symmetric (massless) state of the Nambu--Jona-Lasinio model in 2+1 dimensions in a magnetic field B is not the ground state of the system at zero temperature d…
Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field
E. V. Gorbar, V. P. Gusynin
We study symmetry breaking and gap generation for fermions in the 2D space of constant negative curvature (the Lobachevsky plane) in an external covariantly constant magnetic field…
Surprises in nonperturbative dynamics in sigma-model at finite density
V. P. Gusynin, V. A. Miransky, I. A. Shovkovy
The linear sigma-model occupies a unique place in elementary particle physics and quantum field theory. It has been recently realized that when a chemical…
Gauged Nambu-Jona-Lasinio model with extra dimensions
Valery P. Gusynin, Michio Hashimoto, Masaharu Tanabashi +1
We investigate phase structure of the D (> 4)-dimensional gauged Nambu-Jona-Lasinio (NJL) model with extra dimensions compactified on TeV scale, based on the improved lad…
Spontaneous rotational symmetry breaking and roton like excitations in gauged sigma-model at finite density
V. P. Gusynin, V. A. Miransky, I. A. Shovkovy
The linear -model with a chemical potential for hypercharge is a toy model for the description of the dynamics of the kaon condensate in high density QCD. We analyze the dynamic…